1045101657617 has 2 divisors, whose sum is σ = 1045101657618. Its totient is φ = 1045101657616.

The previous prime is 1045101657583. The next prime is 1045101657623. The reversal of 1045101657617 is 7167561015401.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1020172721296 + 24928936321 = 1010036^2 + 157889^2 .

It is a cyclic number.

It is not a de Polignac number, because 1045101657617 - 2³² = 1040806690321 is a prime.

It is not a weakly prime, because it can be changed into another prime (1045101657217) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 522550828808 + 522550828809.

It is an arithmetic number, because the mean of its divisors is an integer number (522550828809).

Almost surely, 2^{1045101657617} is an apocalyptic number.

It is an amenable number.

1045101657617 is a deficient number, since it is larger than the sum of its proper divisors (1).

1045101657617 is an equidigital number, since it uses as much as digits as its factorization.

1045101657617 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 176400, while the sum is 44.

The spelling of 1045101657617 in words is "one trillion, forty-five billion, one hundred one million, six hundred fifty-seven thousand, six hundred seventeen".